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An analytical method in the theory of two-dimensional positive random walks. (English. Russian original) Zbl 0287.60072
Sib. Math. J. 13(1972), 917-929 (1973); translation from Sib. Mat. Zh. 13, 1314-1329 (1972).

MSC:
60G50 Sums of independent random variables; random walks
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References:
[1] V. A. Malyshev, Random Walks; Wiener-Hopf Equations in the Quarter-Plane; Galois Automorphisms [in Russian], Izd. MGU, Moscow (1970).
[2] V. A. Malyshev, ?Classification of two-dimensional positive walks and almost-linear semimartingales,? Dokl. Akad. Nauk SSSR,202, No. 3, 526-528 (1972). · Zbl 0246.60055
[3] I. R. Shafarevich, ?Fundamentals of algebraic geometry,? Usp. Matem. Nauk,24, No. 6, 3-184 (1969). · Zbl 0204.21301
[4] A. N. Varchenko, ?Theorem on the equisingularity of families of algebraic varieties,? Usp. Matem. Nauk,26, No. 1, 217-218 (1971).
[5] G. Springer, Introduction to Riemann Surfaces, Addison-Wesley, Reading, Mass. (1957). · Zbl 0078.06602
[6] M. Herve, Functions of Several Complex Variables [Russian translation], Mir, Moscow (1965).
[7] V. A. Malyshev, ?The Wiener-Hopf equations in the quarter-plane, discrete groups, and automorphic functions,? Matem. Sborn.,84, No. 4, 499-525 (1971). · Zbl 0214.37001
[8] A. Hurwitz and R. Courant, Function Theory [Russian translation], Nauka, Moscow (1968).
[9] B. V. Shabat, Introduction to Complex Analysis [in Russian], Nauka, Moscow (1969). · Zbl 0188.37902
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